Question
The mean for the dataset will decrease. The standard deviation for the dataset will decrease. The mean for the dataset will increase. The standard deviation for the dataset will increase.
Ask by Ingram Reese. in the United States
Jan 20,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
It seems like you have four statements about changes in a dataset's mean and standard deviation. To help, please provide more context or specify the question you're working on.
Solution
Hello! It looks like you've listed four statements regarding changes to a dataset's mean and standard deviation:
1. **The mean for the dataset will decrease.**
2. **The standard deviation for the dataset will decrease.**
3. **The mean for the dataset will increase.**
4. **The standard deviation for the dataset will increase.**
To provide an accurate and helpful response, could you please share more context or specify the question these statements are related to? For example:
- **Are these potential outcomes of adding or removing a specific data point?**
- **Is this related to a particular statistical scenario or problem?**
- **Are you working on a multiple-choice question and need help selecting the correct option?**
Providing additional details will help me assist you better!
Reviewed and approved by the UpStudy tutoring team
Like
error msg
Explain 
Simplify this solution Beyond the Answer
When you add a number that’s less than the current mean to a dataset, the mean will decrease. This happens because the new average is pulled down by that lower value, reshaping the overall balance of the dataset. On the flip side, when you add data points that are more spread out from the mean, the standard deviation will increase. Standard deviation measures the variability of the data; thus, introducing values that differ significantly from the existing numbers spreads out the dataset, making that variability larger.
